Sierpinski/Riesel Base 5: Post Primes Here - Page 7

axn · 2005-06-21, 11:06

136588*5^22917-1 is prime!

axn · 2005-06-22, 03:43

43156*5^44135-1 is prime!

axn · 2005-06-23, 03:35

294698*5^47110-1 is prime!

jaat · 2005-07-18, 16:55

Another one bites the dust

Prime 9164*5^40892-1

Is there some other way to check these are primes. As the test has some chance of being wrong.(Am i right?)

8494 and 38348 completed upto 50k without any luck.

Btw, Is there some statistics/guesses as to how many will fall till say 50k?
I got 2/4.

jaat

rogue · 2005-07-18, 17:54

Quote:

Originally Posted by jaat

Another one bites the dust

Prime 9164*5^40892-1

Is there some other way to check these are primes. As the test has some chance of being wrong.(Am i right?)

Yes, you can use WinPFGW to do a primality test with the -tp switch (or -tm for a +1 number). No, unless there is a bug in the software or if there were a hardware problem, the number is prime.

geoff · 2005-07-19, 09:40

Quote:

Originally Posted by jaat

Btw, Is there some statistics/guesses as to how many will fall till say 50k?
I got 2/4.

From the Sierpinski data so far I would guess that a little more than 1 in 3 candidates will be eliminated by finding a prime with an exponent between 20,000 and 50,000. The 4 candidates you worked on were of average combined weight, so I would say you did just a little better than average to eliminate 2.

(I moved the last two messages from the reservations thread)

jaat · 2005-07-19, 20:21

Thanks to both Rogue and geoff for answering the queries. I checked both the numbers with the WinPFGW and they are prime. It is also nice to know that one can knock a very large fraction of them very quickly. I'll get back to them soon.

jaat

geoff · 2005-08-14, 05:31

I wondered if any of the primes we find could be one of a pair of twin primes of the form k*5^n+/-1.

Since in any three consecutive integers one must be divisible by 3, for both k*5^n+1 and k*5^n-1 to be prime, k must be divisible by 3. It turns out that this is possible for just one of the k we are currently testing, the Riesel candidate k=151026.

Of the primes already found, the two largest twin primes of this form were 110538*5^139+/-1 and 136674*5^172+/-1.

OmbooHankvald · 2005-09-15, 07:29

Hey all. I was wondering: Is this project still "alive"? There is not a lot going on in the forum and only geoff has found primes in the last month, so I started to wonder how many people (or GHz) are working on this problem?

I think I'll get back here when I'm finished with my 2721...

geoff · 2005-09-17, 15:16

I have a part time 2.66GHz P4 that I split between this project and PSP, it usually does 8-10 hours per week.

It is quiet at the moment, but that is OK, there is no rush :-)

axn · 2005-10-11, 07:47

99356*5^34994-1 is prime!

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Sierpinski and Riesel number (Fixed k, Variable base)	Citrix	Sierpinski/Riesel Base 5	16	2017-02-09 15:55
Definition of Sierpinski/Riesel number base b	sweety439	Conjectures 'R Us	32	2016-12-16 22:31
Sierpinski/Riesel Base 10	rogue	Conjectures 'R Us	11	2007-12-17 05:08
Sierpinski / Riesel - Base 23	michaf	Conjectures 'R Us	2	2007-12-17 05:04
Sierpinski / Riesel - Base 22	michaf	Conjectures 'R Us	49	2007-12-17 05:03

2005-06-21, 11:06	#67
axn Jun 2003 14EF₁₆ Posts	136588*5^22917-1 is prime!

2005-06-22, 03:43	#68
axn Jun 2003 1010011101111₂ Posts	43156*5^44135-1 is prime!

2005-06-23, 03:35	#69
axn Jun 2003 23×233 Posts	294698*5^47110-1 is prime!

2005-07-18, 16:55	#70
jaat Jul 2005 2·3² Posts	Another one bites the dust Prime 9164*5^40892-1 Is there some other way to check these are primes. As the test has some chance of being wrong.(Am i right?) 8494 and 38348 completed upto 50k without any luck. Btw, Is there some statistics/guesses as to how many will fall till say 50k? I got 2/4. jaat

2005-07-19, 20:21	#73
jaat Jul 2005 2·3² Posts	Thanks to both Rogue and geoff for answering the queries. I checked both the numbers with the WinPFGW and they are prime. It is also nice to know that one can knock a very large fraction of them very quickly. I'll get back to them soon. jaat

2005-08-14, 05:31	#74
geoff Mar 2003 New Zealand 485₁₆ Posts	I wondered if any of the primes we find could be one of a pair of twin primes of the form k5^n+/-1. Since in any three consecutive integers one must be divisible by 3, for both k5^n+1 and k5^n-1 to be prime, k must be divisible by 3. It turns out that this is possible for just one of the k we are currently testing, the Riesel candidate k=151026. Of the primes already found, the two largest twin primes of this form were 1105385^139+/-1 and 136674*5^172+/-1.

2005-09-15, 07:29	#75
OmbooHankvald May 2005 Copenhagen, Denmark 17² Posts	Hey all. I was wondering: Is this project still "alive"? There is not a lot going on in the forum and only geoff has found primes in the last month, so I started to wonder how many people (or GHz) are working on this problem? I think I'll get back here when I'm finished with my 2721...

2005-09-17, 15:16	#76
geoff Mar 2003 New Zealand 10010000101₂ Posts	I have a part time 2.66GHz P4 that I split between this project and PSP, it usually does 8-10 hours per week. It is quiet at the moment, but that is OK, there is no rush :-)

2005-10-11, 07:47	#77
axn Jun 2003 1010011101111₂ Posts	99356*5^34994-1 is prime!